TY - JOUR
TI - Galerkin approach to approximate solutions of some boundary value problems
AU - Tian Yi
AU - Peng Xiu-Qing
JN - Thermal Science
PY - 2023
VL - 27
IS - 3
SP - 1957
EP - 1964
PT - Article
AB - This paper uses the Galerkin method to find approximate solutions of some  boundary value problems. The solving process requires to solve a system of  algebraic equations, which are large and difficult to be solved. According  to the Groebner bases theory, an improved Buchberger's algorithm is proposed  to solve the algebraic system. The results show that the Galerkin approach  is simple and efficient.